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Finding the Fourth Proportional to 1,152.39, 1,590.53 and 802.88

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Solution

The fourth proportional to 1,152.39, 1,590.53 and 802.88 is: 1,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.39 : 1,590.53 = 802.88 : x
  2. Step 2: Convert to fraction form
    1,152.39/1,590.53 = 802.88/x
  3. Step 3: Cross multiply
    1,152.39x = 1,590.53 × 802.88
  4. Step 4: Simplify right side
    1,152.39x = 1,276,992.76
  5. Step 5: Solve for x
    x = 1,276,992.76/1,152.39
  6. Step 6: Final answer
    x = 1,108.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.